What is the Greatest Common Factor of 53163 and 53178?

Greatest common factor (GCF) of 53163 and 53178 is 3.

GCF(53163,53178) = 3

We will now calculate the prime factors of 53163 and 53178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53163 and 53178.

How to find the GCF of 53163 and 53178?

We will first find the prime factorization of 53163 and 53178. After we will calculate the factors of 53163 and 53178 and find the biggest common factor number .

Step-1: Prime Factorization of 53163

Prime factors of 53163 are 3, 11, 179. Prime factorization of 53163 in exponential form is:

53163 = 3³ × 11¹ × 179¹

Step-2: Prime Factorization of 53178

Prime factors of 53178 are 2, 3, 8863. Prime factorization of 53178 in exponential form is:

53178 = 2¹ × 3¹ × 8863¹

Step-3: Factors of 53163

List of positive integer factors of 53163 that divides 53163 without a remainder.

1, 3, 9, 11, 27, 33, 99, 179, 297, 537, 1611, 1969, 4833, 5907, 17721

Step-4: Factors of 53178

List of positive integer factors of 53178 that divides 53163 without a remainder.

1, 2, 3, 6, 8863, 17726, 26589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53163 and 53178. The biggest common factor number is the GCF number.
So the greatest common factor 53163 and 53178 is 3.

Also check out the Least Common Multiple of 53163 and 53178